Atkin-Lehner |
2+ 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720t |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-20948400 = -1 · 24 · 32 · 52 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-111,-540] |
[a1,a2,a3,a4,a6] |
Generators |
[1786:26715:8] |
Generators of the group modulo torsion |
j |
-9538484224/1309275 |
j-invariant |
L |
8.7790550714975 |
L(r)(E,1)/r! |
Ω |
0.72930985462163 |
Real period |
R |
6.0187415650155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360f1 |
Quadratic twists by: -4 |